动力系统研讨班：Some problems related to dynamics on Lie groups

中科院数学与系统科学研究院

数学研究所

学术报告

动力系统研讨班

报告人： 李嘉伦 博士（Universität Zürich）

题  目：Some problems related to dynamics on Lie groups

时  间：2022.04.01（星期五），14:30-15:30

地  点：数学院南楼N219室 腾讯会议：770-841-581

摘  要：I will talk about my works on the dynamics on Lie groups in three directions. The first direction is about the decay of Fourier transform of fractal measures. We consider measures coming from some dynamics on Lie groups. The Fourier decay is connected with the base fractal set and the group action. The second direction is about exponential speed in equidistribution. I will talk about the exponential mixing of geodesic flows on hyperbolic manifolds. The third direction is a generalization of counting periodic geodesics on hyperbolic surfaces. I will explain how to generalize it to higher rank cases, for example, counting periodic tori in SL(3,R)/SL(3,Z).